Find all School-related info fast with the new School-Specific MBA Forum

It is currently 31 Aug 2015, 01:06
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If xy < 4, is x < 2 ? (1) y > 1 (2) y > x

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
Manager
Manager
avatar
Joined: 29 Nov 2011
Posts: 82
Followers: 1

Kudos [?]: 150 [2] , given: 37

If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 18 Mar 2012, 03:40
2
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (02:24) correct 42% (01:13) wrong based on 357 sessions
If xy < 4, is x < 2 ?

(1) y > 1
(2) y > x
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Mar 2012, 05:12, edited 1 time in total.
Added the OA
Expert Post
6 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29153
Followers: 4729

Kudos [?]: 49846 [6] , given: 7501

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 18 Mar 2012, 05:25
6
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
If xy < 4, is x < 2 ?

Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>2).

(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.

(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>4\), so \(x\) must be less than 2. Sufficient.

Answer: B.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 29 Nov 2011
Posts: 82
Followers: 1

Kudos [?]: 150 [0], given: 37

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 18 Mar 2012, 20:38
Bunuel wrote:
If xy < 4, is x < 2 ?

Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>=2).

(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.

(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>2\), so \(x\) must be less than 2. Sufficient.

Answer: B.

Hope it's clear.


Yes Bunuel. It's clear. Thanks! :)
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29153
Followers: 4729

Kudos [?]: 49846 [0], given: 7501

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 17 Jun 2013, 04:03
Expert's post
1
This post was
BOOKMARKED
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE


_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Expert Post
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 629
Followers: 64

Kudos [?]: 770 [1] , given: 135

Premium Member
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 17 Jun 2013, 23:40
1
This post received
KUDOS
Expert's post
Smita04 wrote:
If xy < 4, is x < 2 ?

(1) y > 1
(2) y > x


From F.S 1, when y = 4, x = 0.5, xy<4 and x<2.Hence a YES for the question stem. However, for y = 3/2 and x = 2, xy<4 and x=2, hence a NO for the question stem.Insufficient.

From F. S 2, we know that y>x.

Had y been equal to x, we would have x*x<4 --> |x|<2 --> -2<x<2

However, as y>x, to maintain the above given inequality, the value of x will have to reduce even further. Thus, x <2. Sufficient.

B.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

1 KUDOS received
Manager
Manager
avatar
Joined: 14 Dec 2012
Posts: 83
Location: United States
Followers: 1

Kudos [?]: 14 [1] , given: 186

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 24 Jul 2013, 11:54
1
This post received
KUDOS
Bunuel wrote:
If xy < 4, is x < 2 ?

Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>2).

(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.

(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>2\), so \(x\) must be less than 2. Sufficient.

Answer: B.

Hope it's clear.



Hi Bunuel,

I guess the xy>2 should be replaced by xy>4 in above solution
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29153
Followers: 4729

Kudos [?]: 49846 [0], given: 7501

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 24 Jul 2013, 11:57
Expert's post
up4gmat wrote:
Bunuel wrote:
If xy < 4, is x < 2 ?

Notice that in order xy<4 to hold true at least one of the multiples must be less than 2 (if both x and y are more than or equal to 2 then xy>2).

(1) y > 1. If for example \(y=1.5>1\) then \(x\) can be 1, so less than 2 or 2 so not less than 2. Not sufficient.

(2) y > x. According to above: \(y>x\geq{2}\) is not possible since in this case \(xy>2\), so \(x\) must be less than 2. Sufficient.

Answer: B.

Hope it's clear.



Hi Bunuel,

I guess the xy>2 should be replaced by xy>4 in above solution


Typo edited. Thank you. +1.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

1 KUDOS received
Current Student
avatar
Joined: 03 Aug 2012
Posts: 920
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 17

Kudos [?]: 386 [1] , given: 322

Premium Member
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 27 Jul 2013, 01:56
1
This post received
KUDOS
Have a somewhat different solution for this one.

Given that XY <4 ...... Is X<2???

(1). Y > 1 => Y = GT 1 (Where GT = Greater than)

XY < 4 => X < (4/Y) (We can divide by a number >1 both sides)

=> X < (4/GT1) = > X < LT4 = > X < 4 Not sufficient as X can be 3 , 2 ,1 and so on so forth.

(2). Y>X

=> X GTX < 4

Substituting values X=2 , 2*3 < 4 Not true
X=1 , 1*2 < 4 true

Hence (B) !!
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Current Student
User avatar
Joined: 21 Oct 2009
Posts: 23
Followers: 0

Kudos [?]: 9 [0], given: 9

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 27 Jul 2013, 18:08
Smita04 wrote:
If xy < 4, is x < 2 ?

(1) y > 1
(2) y > x


Alternate solution (rather alternate interpretation) for this problem -
xy < 4 or x < 4/y

(1) y > 1: Interpret 4/y as 4/(1 and increasing). This implies x can be <2 or >2 - So not sufficient

(2) y > x: Interpret xy < 4 as x\(2\)<4 and since y is greater than x, it implies that x < 2 - So sufficient

Ans.
[Reveal] Spoiler:
B

_________________

-------
IaintGivinUp!

GMAT assassins aren't born, they are made.

Intern
Intern
avatar
Joined: 27 Jul 2013
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 27 Jul 2013, 20:13
- A is insufficient.
- Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.
Current Student
User avatar
Joined: 21 Oct 2009
Posts: 23
Followers: 0

Kudos [?]: 9 [0], given: 9

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 27 Jul 2013, 20:52
nguyenduong wrote:
- A is insufficient.
- Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.


nguyenduong,

Interpretation should be based on given (true) statements. Given here xy<4 and for pt. (2) y>x.

Take any signs, y has to be greater than x or greater part of the multiplication with x resulting in a product smaller than 4.
Consider if xy was 4 (xy=4) and y=x then both x & y would have been + /- 2. Now when the product reduces (product < 4), x has to be always less than the equal contribution i.e. 2.

Hope I could explain.
_________________

-------
IaintGivinUp!

GMAT assassins aren't born, they are made.

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29153
Followers: 4729

Kudos [?]: 49846 [0], given: 7501

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 28 Jul 2013, 03:48
Expert's post
nguyenduong wrote:
- A is insufficient.
- Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.


The question asks whether x<2. Now, for (2) if x is negative, then x<0<2 and if y is negative, then x<y<0<2. In either case we have an YES answer to the question.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6123
Followers: 342

Kudos [?]: 70 [0], given: 0

Premium Member
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 06 Aug 2014, 06:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 04 Mar 2015
Posts: 13
Followers: 0

Kudos [?]: 0 [0], given: 51

CAT Tests
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 15 Jul 2015, 10:39
Hi Folks, does the method below looks ok?

1) xy <4
-4y<-4
y(x-4) <0
y<0 and x < 4
not suff


2) xy<4
xy^2 <4y

4x < 4y
x(y^2 -4) <0

x <0 suff.
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 936
Concentration: Finance, Strategy
GMAT 1: 650 Q49 V30
GMAT 2: 690 Q49 V34
GMAT 3: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 20

Kudos [?]: 296 [0], given: 140

GMAT ToolKit User Premium Member Reviews Badge CAT Tests
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 15 Jul 2015, 10:53
getbetter wrote:
Hi Folks, does the method below looks ok?

1) xy <4
-4y<-4
y(x-4) <0
y<0 and x < 4
not suff


2) xy<4
xy^2 <4y
4x < 4y
x(y^2 -4) <0

x <0 suff.


1) Where are you getting the above text in red from? How do you get y (x-4) < 0 ? Even if I assume that what you have written in correct, where are you getting y<0 from?

2) Text in blue is only possible if y>0. You need to reverse the inequality if y <0. Statement 2 just mentions that y>x and it does not tell us that x>0 to make y>0 at the same time. Also, how are you getting x(y^2-4)<0 from 4x<4y?

Based on your solution, you were lucky to get to the correct answer and it does not look correct. Maybe, if you could write out all the steps clearly, we can take a look again.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-87417.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Intern
Intern
avatar
Joined: 04 Mar 2015
Posts: 13
Followers: 0

Kudos [?]: 0 [0], given: 51

CAT Tests
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 15 Jul 2015, 14:49
Sure let me explain step by step:

1) xy <4 ———(1)

y > 1 -> 1<y -> -y<-1
multiply both sides by 4 : -4y<-4 ————(2)

(1)+(2)
xy - 4y < 0
y(x-4) <0
y<0 and x < 4
not suff.


2) xy<4

multiply both sides by ‘y’: xy^2 < 4y ————(1)
y > x
Multiply both sides by 4: 4x < 4y —————(2)

(1)-(2):

x(y^2 -4) <0

x <0 suff.
1 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 936
Concentration: Finance, Strategy
GMAT 1: 650 Q49 V30
GMAT 2: 690 Q49 V34
GMAT 3: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 20

Kudos [?]: 296 [1] , given: 140

GMAT ToolKit User Premium Member Reviews Badge CAT Tests
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 15 Jul 2015, 15:09
1
This post received
KUDOS
getbetter wrote:
Sure let me explain step by step:

1) xy <4 ———(1)

y > 1 -> 1<y -> -y<-1
multiply both sides by 4 : -4y<-4 ————(2)

(1)+(2)
xy - 4y < 0
y(x-4) <0
y<0 and x < 4
not suff.


2) xy<4

multiply both sides by ‘y’: xy^2 < 4y ————(1)
y > x
Multiply both sides by 4: 4x < 4y —————(2)

(1)-(2):

x(y^2 -4) <0

x <0 suff.


Ok, this looks better now.

Text in green: correct!
Text in red: incorrect

1) xy <4 ———(1)

y > 1 -> 1<y -> -y<-1
multiply both sides by 4 : -4y<-4 ————(2)

(1)+(2)
xy - 4y < 0
y(x-4) <0
------ (3)
y<0 and x < 4
not suff.


From 3, you know that y (x-4)<0 ---> this means 2 cases:

either y<0 and x>4 (not possible as given y>1)
or y>0 and x<4 . Even if we have x<4, x can be 3 or 1.5 , thus x <2 may or may not be true. Thus this statement is not sufficient.


2) xy<4

multiply both sides by ‘y’: xy^2 < 4y ————(1)
y > x
Multiply both sides by 4: 4x < 4y —————(2)

(1)-(2):

x(y^2 -4) <0

x <0 suff.


How do you know whether y < or > 0 when you multiply xy<4 by y? if y is >0 then yes what you did is correct, but if y < 0 , then xy *y > 4y. The thing to remember here is that DO NOT multiply an inequality by a variable when you do not know the sign of that variable.

Alternately, what you can do is :

xy < 4 and y >x , ---> as x<y ----> \(x^2 < 4\) (as x<y and xy < 4 ----> \(x^2< xy <y^2\)) ----> -2<x<2 and thus this statement is sufficient to say x<2. Thus B is the correct answer.

Hope this answers your question.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-87417.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Intern
Intern
avatar
Joined: 11 Aug 2013
Posts: 18
Location: India
Concentration: Finance, General Management
GMAT 1: 620 Q47 V28
GPA: 3.23
WE: Information Technology (Investment Banking)
Followers: 0

Kudos [?]: 9 [0], given: 12

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink] New post 18 Jul 2015, 08:52
given: xy<4 ;is x<2?


from(1) y>1=> y can be any +ve number(not specifically Integer);say y= 1.5 than x>2 but if y=3 than x<2 Hence Not sufficient
from(2) y>x; Take the worst case when y=x than both will have value 4; but as y grows more than 2 value of x has to go below 2 in order for Y to be greater than x. Since already xy<4 hence x has to be less than 2 Hence Sufficient
_________________

Thanks
Sindbad
----------------
Click +1 Kudos if my post helped...

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x   [#permalink] 18 Jul 2015, 08:52
    Similar topics Author Replies Last post
Similar
Topics:
Is x-y+1 greater than x+y-1? 1) x>0 2) y<0 Chetangupta 10 01 Jun 2011, 13:15
19 Experts publish their posts in the topic Is |x+y|>|x-y|? (1) |x| > |y| (2) |x-y| < |x ahsanmalik12 9 25 Sep 2010, 03:04
11 Experts publish their posts in the topic If x#-y is (x-y)/(x+y)>1? (1) x>0 (2) y<0 gmatcracker2010 19 19 Jun 2010, 02:45
3 Experts publish their posts in the topic Is |x-y| > |x| - |y| ? (1) y < x (2) xy < 0 Nerdboy 9 22 Sep 2008, 05:04
3 Experts publish their posts in the topic If x#-y is (x-y)/(x+y)>1? (1) x>0 (2) y<0 gmatmba 6 23 Jun 2006, 07:17
Display posts from previous: Sort by

If xy < 4, is x < 2 ? (1) y > 1 (2) y > x

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.